Answer:
BC 4 in
Step-by-step explanation:
The steps for construction;
- Using a ruler draw line AB 4 inches and label the end points A and B
- At point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inches
- Mark that point C.
- Using the ruler, join point C and B and measure BC.
From calculation, length BC can be found by the formula;
------where a=b=4 in , cos A = cos 60°
BC = 4 in
To solve this problem you must apply the proccedure shown below:
1. If the function 
is shifted 
units left, this means that you must substitute the value of 
by 
to find 
, as following:
2. Now, expand the function:
3. Then, you have that is:
Therefore, the answer is:
<u><em>Answer:</em></u>
Exact volume = 294π in³
Approximate volume = 923.6 in³
<u><em>Explanation:</em></u>
<u>The volume of a cylinder can be calculated using the following rule:</u>
volume = πr²h
where r is the radius and h is the height of the cylinder
<u>In the given cylinder:</u>
radius = r = 7 in
height = h = 6 in
<u>Substitute with the givens in the formula to get the volume:</u>
Volume of cylinder = πr²h = π(7)²(6) = 294π in³ ≈ 923.6 in³ to the nearest tenth
Hope this helps :)
Answer:
y= x+7
Step-by-step explanation:
plug in 0 to x and get 7 for y
Answer: the cost of each pencil is $0.5
the cost of each eraser is $0.15
Step-by-step explanation:
Let x represent the cost of one pencil.
Let y represent the cost of one eraser.
Becky spent $1.45 for 2 pencils and 3 erasers. This means that
2x + 3y = 1.45- - - - - - - - - -1
Luke spent $2.65 for 5 pencils and 1 eraser. This means that
5x + y = 2.65- - - - - - - - - -2
Multiplying equation 1 by 1 and equation 2 by 3, it becomes
2x + 3y = 1.45
15x + 3y = 7.95
Subtracting, it becomes
- 13x = - 6.5
x = - 6.5/- 13
x = 0.5
Substituting x = 0.5 into equation 2, it becomes
5 × 0.5 + y = 2.65
2.5 + y = 2.65
y = 2.65 - 2.5
y = 0.15
